6533b839fe1ef96bd12a5928

RESEARCH PRODUCT

Generically split projective homogeneous varieties. II

Victor PetrovNikita Semenov

subject

Pure mathematicsAlgebra and Number TheoryCollineationComplex projective spaceProjective lineProjective spaceGeometry and TopologyRational normal curveQuaternionic projective spaceProjective varietyMathematicsTwisted cubic

description

AbstractThis article gives a complete classification of generically split projective homogeneous varieties. This project was begun in our previous article [PS10], but here we remove all restrictions on the characteristic of the base field, give a new uniform proof that works in all cases and in particular includes the case PGO2n+ which was missing in [PS10].

https://doi.org/10.1017/is012001013jkt182